Live analysis

1,024,164

1,024,164 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,024,164 (one million twenty-four thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 29 × 109. Its proper divisors sum to 1,770,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA0A4.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,024,152 1,024,153 1,024,154 1,024,155 1,024,156 1,024,157 1,024,158 1,024,159 1,024,160 1,024,161 1,024,162 1,024,163 1,024,164 1,024,165 1,024,166 1,024,167 1,024,168 1,024,169 1,024,170 1,024,171 1,024,172 1,024,173 1,024,174 1,024,175 1,024,176

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,614,201
Square (n²): 1,048,911,898,896
Cube (n³): 1,074,257,806,020,922,944
Divisor count: 60
σ(n) — sum of divisors: 2,795,100
φ(n) — Euler's totient: 326,592
Sum of prime factors: 154

Primality

Prime factorization: 2 ² × 3 ⁴ × 29 × 109

Nearest primes: 1,024,159 (−5) · 1,024,171 (+7)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 29 · 36 · 54 · 58 · 81 · 87 · 108 · 109 · 116 · 162 · 174 · 218 · 261 · 324 · 327 · 348 · 436 · 522 · 654 · 783 · 981 · 1044 · 1308 · 1566 · 1962 · 2349 · 2943 · 3132 · 3161 · 3924 · 4698 · 5886 · 6322 · 8829 · 9396 · 9483 · 11772 · 12644 · 17658 · 18966 · 28449 · 35316 · 37932 · 56898 · 85347 · 113796 · 170694 · 256041 · 341388 · 512082 (half) · 1024164

Aliquot sum (sum of proper divisors): 1,770,936

Factor pairs (a × b = 1,024,164)

1 × 1024164

2 × 512082

3 × 341388

4 × 256041

6 × 170694

9 × 113796

12 × 85347

18 × 56898

27 × 37932

29 × 35316

36 × 28449

54 × 18966

58 × 17658

81 × 12644

87 × 11772

108 × 9483

109 × 9396

116 × 8829

162 × 6322

174 × 5886

218 × 4698

261 × 3924

324 × 3161

327 × 3132

348 × 2943

436 × 2349

522 × 1962

654 × 1566

783 × 1308

981 × 1044

First multiples

1,024,164 · 2,048,328 (double) · 3,072,492 · 4,096,656 · 5,120,820 · 6,144,984 · 7,169,148 · 8,193,312 · 9,217,476 · 10,241,640

Sums & aliquot sequence

As a sum of two squares: 90² + 1,008² = 630² + 792²

As consecutive integers: 341,387 + 341,388 + 341,389 128,017 + 128,018 + … + 128,024 113,792 + 113,793 + … + 113,800 42,662 + 42,663 + … + 42,685

Aliquot sequence: 1,024,164 → 1,770,936 → 2,702,424 → 4,053,696 → 6,943,488 → 11,538,360 → 25,962,480 → 62,304,192 → 125,711,688 → 188,567,592 → 294,318,168 → 453,543,192 → 809,432,808 → 1,222,038,552 → 2,273,359,848 → 3,494,870,712 → 6,320,975,328 — unresolved within range

Continued fraction of √n

√1,024,164 = [1012; (101, 4, 1, 80, 6, 4, 3, 1, 4, 4, 1, 3, 1, 2, 2, 4, 6, 24, 1, 4, 1, 3, 1, 3, …)]

Representations

In words: one million twenty-four thousand one hundred sixty-four
Ordinal: 1024164th
Binary: 11111010000010100100
Octal: 3720244
Hexadecimal: 0xFA0A4
Base64: D6Ck
One's complement: 4,293,943,131 (32-bit)
Scientific notation: 1.024164 × 10⁶
As a duration: 1,024,164 s = 11 days, 20 hours, 29 minutes, 24 seconds

In other bases

ternary (3) 1221000220000

quaternary (4) 3322002210

quinary (5) 230233124

senary (6) 33541300

septenary (7) 11463621

nonary (9) 1830800

undecimal (11) 63a519

duodecimal (12) 414830

tridecimal (13) 29b21b

tetradecimal (14) 1c9348

pentadecimal (15) 1536c9

As an angle

1,024,164° = 2,844 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零二萬四千一百六十四
Chinese (financial): 壹佰零貳萬肆仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٢٤١٦٤ Devanagari १०२४१६४ Bengali ১০২৪১৬৪ Tamil ௧௦௨௪௧௬௪ Thai ๑๐๒๔๑๖๔ Tibetan ༡༠༢༤༡༦༤ Khmer ១០២៤១៦៤ Lao ໑໐໒໔໑໖໔ Burmese ၁၀၂၄၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024164, here are decompositions:

5 + 1024159 = 1024164
13 + 1024151 = 1024164
61 + 1024103 = 1024164
73 + 1024091 = 1024164
103 + 1024061 = 1024164
173 + 1023991 = 1024164
191 + 1023973 = 1024164
223 + 1023941 = 1024164

Showing the first eight; more decompositions exist.

Hex color

#0FA0A4

RGB(15, 160, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.164.

Address: 0.15.160.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.164

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4164 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4164-02-01 (DMMYYYY (Euro, single-digit day))
4164-10-02 (MMDYYYY (US, single-digit day))
4164-02-10 (DDMYYYY (Euro, single-digit month))

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,024,164 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,024,164 on Google Patents ↗ Look up on USPTO ↗